a self guided flying device was designed to have a boomerang effect the location of a device from its original position is documented as having a positive distance when it is in front of the original position and a negative distance when its is behind the original position the location of the device can be represented by the equation below where x equals the time in seconds after the device was launched.
d(x)=-7(x-22)^2+3,388
the graph of the function is drawn under the assumption that the device never stops which of the following describes the end behavior of the graph?
a. as x approaches positive infinity, D(x) remain constant.
b. as x approaches positive infinity, D(x) approaches positive infinity
c. as x approaches positive infinity, D(x) approaches negative infinity.
d. as x approaches positive infinity, D(x) approaches zero.
b. as x approaches positive infinity, D(x) approaches positive infinity
As x approaches positive infinity, the -7(x-22)^2 term becomes larger and larger in magnitude (because x-22 is always positive) which causes the overall value of d(x) to approach negative infinity.